FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1801870824> ?p ?o ?g. }

• W1801870824 endingPage "284" @default.
• W1801870824 startingPage "251" @default.
• W1801870824 abstract "This paper is concerned with problems in the context of the theoretical foundation of adaptive algorithms for the numerical treatment of operator equations. It is well-known that the analysis of such schemes naturally leads to function spaces of Besov type. But, especially when dealing with equations on non-smooth manifolds, the definition of these spaces is not straightforward. Nevertheless, motivated by applications, recently Besov-type spaces $$B^alpha _{Psi ,q}(L_p(Gamma ))$$ on certain two-dimensional, patchwise smooth surfaces were defined and employed successfully. In the present paper, we extend this definition (based on wavelet expansions) to a quite general class of d-dimensional manifolds and investigate some analytical properties of the resulting quasi-Banach spaces. In particular, we prove that different prominent constructions of biorthogonal wavelet systems $$Psi $$ on domains or manifolds $$Gamma $$ which admit a decomposition into smooth patches actually generate the same Besov-type function spaces $$B^alpha _{Psi ,q}(L_p(Gamma ))$$ , provided that their univariate ingredients possess a sufficiently large order of cancellation and regularity. For this purpose, a theory of almost diagonal matrices on related sequence spaces $$b^alpha _{p,q}(nabla )$$ of Besov type is developed." @default.
• W1801870824 created "2016-06-24" @default.
• W1801870824 creator A5024458707 @default.
• W1801870824 date "2015-07-01" @default.
• W1801870824 modified "2023-10-17" @default.
• W1801870824 title "Almost Diagonal Matrices and Besov-Type Spaces Based on Wavelet Expansions" @default.
• W1801870824 cites W1538588718 @default.
• W1801870824 cites W1552202099 @default.
• W1801870824 cites W1970304323 @default.
• W1801870824 cites W1972883869 @default.
• W1801870824 cites W1974552494 @default.
• W1801870824 cites W1981435341 @default.
• W1801870824 cites W1988406495 @default.
• W1801870824 cites W2002243891 @default.
• W1801870824 cites W2015219711 @default.
• W1801870824 cites W2021528621 @default.
• W1801870824 cites W2039066931 @default.
• W1801870824 cites W2045050233 @default.
• W1801870824 cites W2048268779 @default.
• W1801870824 cites W2048834141 @default.
• W1801870824 cites W2058098597 @default.
• W1801870824 cites W2059967877 @default.
• W1801870824 cites W2062728462 @default.
• W1801870824 cites W2079275676 @default.
• W1801870824 cites W2088277224 @default.
• W1801870824 cites W2105129588 @default.
• W1801870824 cites W2115566547 @default.
• W1801870824 cites W222993076 @default.
• W1801870824 cites W2364128533 @default.
• W1801870824 cites W253824085 @default.
• W1801870824 cites W2583832403 @default.
• W1801870824 cites W2953060141 @default.
• W1801870824 cites W4210257010 @default.
• W1801870824 cites W4213021285 @default.
• W1801870824 cites W4231428347 @default.
• W1801870824 cites W4242704675 @default.
• W1801870824 cites W4253840677 @default.
• W1801870824 doi "https://doi.org/10.1007/s00041-015-9423-0" @default.
• W1801870824 hasPublicationYear "2015" @default.
• W1801870824 type Work @default.
• W1801870824 sameAs 1801870824 @default.
• W1801870824 citedByCount "9" @default.
• W1801870824 countsByYear W18018708242015 @default.
• W1801870824 countsByYear W18018708242016 @default.
• W1801870824 countsByYear W18018708242017 @default.
• W1801870824 countsByYear W18018708242018 @default.
• W1801870824 countsByYear W18018708242019 @default.
• W1801870824 countsByYear W18018708242020 @default.
• W1801870824 countsByYear W18018708242021 @default.
• W1801870824 countsByYear W18018708242023 @default.
• W1801870824 crossrefType "journal-article" @default.
• W1801870824 hasAuthorship W1801870824A5024458707 @default.
• W1801870824 hasBestOaLocation W18018708242 @default.
• W1801870824 hasConcept C104317684 @default.
• W1801870824 hasConcept C129698243 @default.
• W1801870824 hasConcept C130367717 @default.
• W1801870824 hasConcept C134306372 @default.
• W1801870824 hasConcept C142730499 @default.
• W1801870824 hasConcept C154945302 @default.
• W1801870824 hasConcept C158453530 @default.
• W1801870824 hasConcept C169976997 @default.
• W1801870824 hasConcept C185592680 @default.
• W1801870824 hasConcept C18903297 @default.
• W1801870824 hasConcept C196216189 @default.
• W1801870824 hasConcept C202444582 @default.
• W1801870824 hasConcept C2524010 @default.
• W1801870824 hasConcept C2777299769 @default.
• W1801870824 hasConcept C2778112365 @default.
• W1801870824 hasConcept C33923547 @default.
• W1801870824 hasConcept C41008148 @default.
• W1801870824 hasConcept C47432892 @default.
• W1801870824 hasConcept C54355233 @default.
• W1801870824 hasConcept C55112680 @default.
• W1801870824 hasConcept C55493867 @default.
• W1801870824 hasConcept C6183050 @default.
• W1801870824 hasConcept C86803240 @default.
• W1801870824 hasConcept C99730327 @default.
• W1801870824 hasConceptScore W1801870824C104317684 @default.
• W1801870824 hasConceptScore W1801870824C129698243 @default.
• W1801870824 hasConceptScore W1801870824C130367717 @default.
• W1801870824 hasConceptScore W1801870824C134306372 @default.
• W1801870824 hasConceptScore W1801870824C142730499 @default.
• W1801870824 hasConceptScore W1801870824C154945302 @default.
• W1801870824 hasConceptScore W1801870824C158453530 @default.
• W1801870824 hasConceptScore W1801870824C169976997 @default.
• W1801870824 hasConceptScore W1801870824C185592680 @default.
• W1801870824 hasConceptScore W1801870824C18903297 @default.
• W1801870824 hasConceptScore W1801870824C196216189 @default.
• W1801870824 hasConceptScore W1801870824C202444582 @default.
• W1801870824 hasConceptScore W1801870824C2524010 @default.
• W1801870824 hasConceptScore W1801870824C2777299769 @default.
• W1801870824 hasConceptScore W1801870824C2778112365 @default.
• W1801870824 hasConceptScore W1801870824C33923547 @default.
• W1801870824 hasConceptScore W1801870824C41008148 @default.
• W1801870824 hasConceptScore W1801870824C47432892 @default.
• W1801870824 hasConceptScore W1801870824C54355233 @default.
• W1801870824 hasConceptScore W1801870824C55112680 @default.
• W1801870824 hasConceptScore W1801870824C55493867 @default.

• next